Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Question
Suppose that the piecewise function f is defined by
SV2 +4,
-6z + v6+5, z>1
f(x) =
-2<z<1
Determine which of the following statements are true.
Select the correct answer below:
O f(z) is not continuous at r = 1 because it is not defined atz 1.
O f(1) exists, but f(r) is not continuous at z 1 because lim f(x) does not exist.
O () and lim f(r) both exist, but f(z) isnot continuous at z 1 because lim f(z) f(1).
O f(2) is continuous at r = 1.
Transcribed Image Text:Question Suppose that the piecewise function f is defined by SV2 +4, -6z + v6+5, z>1 f(x) = -2<z<1 Determine which of the following statements are true. Select the correct answer below: O f(z) is not continuous at r = 1 because it is not defined atz 1. O f(1) exists, but f(r) is not continuous at z 1 because lim f(x) does not exist. O () and lim f(r) both exist, but f(z) isnot continuous at z 1 because lim f(z) f(1). O f(2) is continuous at r = 1.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning